Combinatorial interpretation of Haldane-Wu fractional exclusion statistics

Askar Aryngazin, M. I. Mazhitov

2002

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DOI 10.1103/physreve.66.026116
Data confidence 70 medium
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Abstract

Assuming that the maximal allowed number of identical particles in a state is an integer parameter, q, we derive the statistical weight and analyze the associated equation that defines the statistical distribution. The derived distribution covers Fermi-Dirac and Bose-Einstein ones in the particular cases q=1 and q--> infinity (n(i)/q-->1), respectively. We show that the derived statistical weight provides a natural combinatorial interpretation of Haldane-Wu fractional exclusion statistics, and present exact solutions of the distribution equation.